5.3 In a positively curved universe containing only matter (2, > 1, K = +1), show that the present age of the universe is given by the formula Hoto = Cos- 1 2(2, – 1)3/2 20 - 1 (5.117) Assuming Ho = 68 km s1 Mpc, plot to as a function of 2, in the range 1 < 205 3.
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- A magnetic field turns the velocity of a particle but does not change the speed, because the force is always perpendicular to the velocity. Particle accelerators (like CERN,) bubble chambers (to detect and characterize particles,) and mass spectrometers (to identify ions) all rely on this circular motion of charged particles in a magnetic field. In section 26.3, we learn that the radius of the circle made by a charged particle moving perpendicular to a magnetic field is T = mv qB (a) A particle is observed moving to the right when it enters a magnetic field. The magnetic field points into the page. When the particle enters the field, it moves in a clockwise circle. What is the sign of the charge? (b) Explain using physics language why the radius gets larger when the mass increases, and smaller when the charge or field increase. Discuss also why the radius tends to infinity (ie the path becomes a straight line) when the charge goes to zero. (c) At CERN, protons move almost the speed of…The matter density in the Universe today is Pm = -27 kg m-3. What would 2.7 x 10 be the value of the density parameter, 2o, if the Hubble constant had the value Ho = 38 km/s/Mpc? Assume the Universe does not contain dark energy and choose the option below that best matches your answer. Select one: O a. 0.1 O b. 2. О с. 1. O d. 0.7 О е. 0.5a) Briefly explain what is meant by "particle horizon" and "event horizon" in cosmology. b) Calculate the physical particle horizon, RH (t), at time t. Assume a flat FRW universe which is dominated by a fluid that gives rise to scale factor evolution a(t) = ao ()*, to where n is a constant with 0Consider the following line element, ds^2 = −dt^2 + a^2 (t) (dx^2 + dy^2 ) + b^2 (t) dz^2 , where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.Scientists are conducting an experiment to determine if their hypothesis that a certain constant in the universe is 1.65. the uncertainties in the experiment result in a relative uncertainty of no more than 2%. After several experimental trials, the scientists obtained an average value of 1.7 for the constant. What can be said about the scientists hypothesis? Hint calculate the percent error and compare it to the relative uncertainty.Given F=2x^(2)-yz^(2) WHAT Is (del f)/(del x) ,(del f)/(del y) (del^(2)f)/(del x^(2)) (del^(2)f)/(del y^(2)) (del^(2)f)/(del z^(2)) (del^(2)f)/(del x del y) (del^(2)f)/(del y del x) (del^(2)f)/(del z del x) And (del^(2)f)/(del z del y)5.8 Consider an expanding, positively curved universe containing only a cosmological constant (20 = Q.0 > 1). Show that such a universe %3D underwent a "Big Bounce" at a scale factor 1/2 ()". Apounce = (5.120) and that the scale factor as a function of time isI understand how we got 1.485*10^19, but where did 1.6*10^-19 come from? Also what does that symbol before the E mean?Suppose the energy density of the cosmological constant is equal to the present critical density, 8.7 x 10-27 kg m-3 \times ×c2. What is the total energy of the cosmological constant within a sphere 1.00 AU in radius? Input answer in units of Joules, and must be in scientific notation and include one decimal places (2 sig fig).P2 X The image to the left is a Feynman diagram with time increasing upward. P1 (a) If p1 is an electron and X is a W+ what must p2 be? Why? (b) If p1 is a μ+ and p2 is a different flavor of lepton, what must p2 be? Why? (c) In the last question, what must X be? Why? (d) If p1 and p2 are both electron neutrinos, what must X be? Why? (e) If p1 and p2 are both the same flavor of charged lepton, what might X be? (There are two possibilities.) Why?There are two parts to this question. I need to know the years for both. I have tried 14,000,000,000, 17,908,900,000, 17.29 x 10^9, and 17.9089 x 10^9 for the hubble time and all those are wrong. I have tried 17,908,900,000, 17.29 x 10^9, and 17.9089 x 10^9 for the second question and those are wrong too.where did the 50 x 10^-3 come from and how did you get the math of -7.5SEE MORE QUESTIONS